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. Author manuscript; available in PMC: 2021 Sep 1.
Published in final edited form as: Epidemiology. 2020 Sep;31(5):713–717. doi: 10.1097/EDE.0000000000001232

Table 1.

Overall median proportion estimates and population-averaged proportion estimates with 95% confidence intervals in the two meta-analyses on chorioamnionitis and on depression or depressive symptoms.

Method Overall median proportion, % [95% bootstrap CI] (95% CI) Population-averaged proportion, % [95% bootstrap CI]
Meta-analysis on chorioamnionitis
Generalized linear mixed model:
Log link 3.27 [2.12, 4.97] (2.11, 5.05) 5.32 [3.06, 8.31]
Logit link 3.33 [2.14, 5.11] (2.13, 5.17) 5.17 [3.05, 7.77]
Probit link 3.54 [2.27, 5.53] (2.21, 5.48) 5.11 [3.07, 7.62]
Cauchit link 2.41 [1.69, 3.55] (1.80, 3.64) 11.34 [5.96, 16.10]
Complementary log-log link 3.30 [2.13, 5.05] (2.12, 5.11) 5.22 [3.06, 7.96]
Two-step method:
Log transformation 3.39 [2.20, 5.21] (2.21, 5.21) 5.41 [3.16, 8.38]
Logit transformation 3.45 [2.22, 5.31] (2.22, 5.32) 5.25 [3.14, 7.82]
Arcsine transformation 4.13 [2.56, 6.28] (2.49, 6.16) 5.16 [3.14, 7.55]
Double-arcsine transformation at
 harmonic mean of sample sizes = 664 4.14 [2.58, 6.30] (2.50, 6.17) 5.15 [3.15, 7.54]
 geometric mean of sample sizes = 17,358 4.21 [2.65, 6.36] (2.57, 6.24) 5.22 [3.21, 7.60]
 arithmetic mean of sample sizes = 1,207,998 4.21 [2.66, 6.36] (2.57, 6.24) 5.22 [3.21, 7.60]
 inverse of variance = 459 4.11 [2.55, 6.27] (2.47, 6.14) 5.13 [3.12, 7.51]
Meta-analysis on depression or depressive symptoms
Generalized linear mixed model:
Log link 20.12 [12.59, 35.06] (11.93, 33.94) 24.61 [13.04, 40.35]
Logit link 21.53 [12.65, 37.01] (11.71, 36.20) 24.71 [13.04, 38.42]
Probit link 22.15 [12.72, 37.34] (11.67, 36.60) 24.82 [13.03, 38.38]
Cauchit link 18.05 [11.93, 32.21] (11.75, 33.82) 23.95 [12.68, 37.33]
Complementary log-log link 20.82 [12.62, 36.17] (11.83, 35.12) 24.50 [13.04, 38.57]
Two-step method:
Log transformation 20.39 [12.76, 35.35] (12.14, 34.22) 24.84 [13.22, 40.61]
Logit transformation 21.70 [12.78, 37.14] (11.87, 36.30) 24.83 [13.18, 38.50]
Arcsine transformation 23.10 [12.82, 37.77] (11.58, 37.16) 25.02 [13.04, 38.51]
Double-arcsine transformation at
 harmonic mean of sample sizes = 231 23.12 [12.85, 37.78] (11.59, 37.15) 25.01 [13.07, 38.51]
 geometric mean of sample sizes = 266 23.14 [12.87, 37.79] (11.61, 37.16) 25.03 [13.09, 38.52]
 arithmetic mean of sample sizes = 311 23.15 [12.89, 37.80] (11.63, 37.17) 25.04 [13.11, 38.52]
 inverse of variance = 41 22.60 [12.13, 37.54] (10.85, 36.90) 24.55 [12.36, 38.29]